501216325632 has 312 divisors, whose sum is σ = 1637930024640. Its totient is φ = 151880417280.

The previous prime is 501216325579. The next prime is 501216325633. The reversal of 501216325632 is 236523612105.

501216325632 is a `hidden beast` number, since 5 + 0 + 1 + 2 + 16 + 3 + 2 + 5 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (501216325633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10925719 + ... + 10971497.

It is an arithmetic number, because the mean of its divisors is an integer number (5249775720).

Almost surely, 2^501216325632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501216325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818965012320).

501216325632 is an abundant number, since it is smaller than the sum of its proper divisors (1136713699008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

501216325632 is an equidigital number, since it uses as much as digits as its factorization.

501216325632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45829 (or 45795 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 501216325632 its reverse (236523612105), we get a palindrome (737739937737).

The spelling of 501216325632 in words is "five hundred one billion, two hundred sixteen million, three hundred twenty-five thousand, six hundred thirty-two".